More by Lauren Williams

Abstract

We study a multivariate Markov chain on the symmetric group
with remarkable enumerative properties. We conjecture that the
stationary distribution of this Markov chain can be expressed
in terms of positive sums of Schubert polynomials. This Markov
chain is a multivariate generalization of a Markov chain introduced
by the first author in the study of random affine Weyl
group elements.